Search a number
-
+
2004246720 = 263357311069
BaseRepresentation
bin111011101110110…
…0110000011000000
312011200100021122000
41313131212003000
513101041343340
6530513544000
7100444546620
oct16735460300
95150307560
102004246720
11939388253
1247b275000
1325c303308
14150282880
15bae50d30
hex777660c0

2004246720 has 448 divisors, whose sum is σ = 8349081600. Its totient is φ = 442920960.

The previous prime is 2004246691. The next prime is 2004246743. The reversal of 2004246720 is 276424002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874346 + ... + 1875414.

Almost surely, 22004246720 is an apocalyptic number.

2004246720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174540800).

2004246720 is an abundant number, since it is smaller than the sum of its proper divisors (6344834880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004246720 is a wasteful number, since it uses less digits than its factorization.

2004246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2004246720 is about 44768.8141455634. The cubic root of 2004246720 is about 1260.8121747860.

The spelling of 2004246720 in words is "two billion, four million, two hundred forty-six thousand, seven hundred twenty".